Many original Muslim geometric works are “books” or chapters of great mathematical, astronomical, and encyclopedic works. Geometrical parts are contained in the algebraic treatise of al‐Khwārizmī (ca. 780–850), in the Miftāḥ al‐ḥisāb (Key of Arithmetic) of Jamshīd al‐Kāshī (d. ca. 1430), in the astronomical al‐Qānūn al‐Mas ˓ ūdī (Masudic Canon) of Abū'1 Rayḥān al‐Bīrūnī (973–1048) and in his treatises on astrolabes, as well as in the encyclopedic Kitāb al‐shifā (Book of Healing) of Abū ˓Alī ibn Sīnā (Avicenna 980–1037). There are also special geometric treatises, commentaries on Euclid, and treatises on geometrical theorems, calculations, constructions, and the foundations of geometry.
Calculations of areas of plane figures and of volumes of solids were considered in the chapter “On mensuration” of the algebraic treatise of al‐Khwārizmī. Many rules in this chapter coincide with the rules of Hero's Metrics(first century AD) and of Indian mathematicians of the fifth and sixth...
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Rosenfeld, B. (2008). Geometry in Islamic Mathematics. In: Selin, H. (eds) Encyclopaedia of the History of Science, Technology, and Medicine in Non-Western Cultures. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-4425-0_9226
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